Observational constraints on the jerk parameter with the data of the Hubble parameter - INSPIRE

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Observational constraints on the jerk parameter with the data of the Hubble parameter

May 8, 2018

9 pages

Published in:

Eur.Phys.J.C 78 (2018) 10, 862

Published: Oct 26, 2018

e-Print:

1805.02854 [gr-qc]

DOI:

10.1140/epjc/s10052-018-6355-2

Report number:

FU-PCG-32

View in:

ADS Abstract Service

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Abstract: (Springer)

We study the accelerated expansion phase of the universe by using the kinematic approach. In particular, the deceleration parameter q is parametrized in a model-independent way. Considering a generalized parametrization for q, we first obtain the jerk parameter j (a dimensionless third time derivative of the scale factor) and then confront it with cosmic observations. We use the latest observational dataset of the Hubble parameter H(z) consisting of 41 data points in the redshift range of

0.07 \le z \le 2.36

, larger than the redshift range that covered by the Type Ia supernova. We also acquire the current values of the deceleration parameter

q_0

, jerk parameter

j_0

and transition redshift

z_t

(at which the expansion of the universe switches from being decelerated to accelerated) with

1\sigma

errors (

68.3\%

confidence level). As a result, it is demonstrate that the universe is indeed undergoing an accelerated expansion phase following the decelerated one. This is consistent with the present observations. Moreover, we find the departure for the present model from the standard

\Lambda

CDM model according to the evolution of j. Furthermore, the evolution of the normalized Hubble parameter is shown for the present model and it is compared with the dataset of H(z).

Note:

9 pages, 4 figures, 1 table, new references added, version accepted for publication in the European Physical Journal C

98.80.Hw
jerk parameter
kinematical approach
cosmic chronometer

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